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Finding the Fourth Proportional to 461.43, 636.80 and 251.63

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Solution

The fourth proportional to 461.43, 636.80 and 251.63 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 636.80 = 251.63 : x
  2. Step 2: Convert to fraction form
    461.43/636.80 = 251.63/x
  3. Step 3: Cross multiply
    461.43x = 636.80 × 251.63
  4. Step 4: Simplify right side
    461.43x = 160,233.54
  5. Step 5: Solve for x
    x = 160,233.54/461.43
  6. Step 6: Final answer
    x = 347.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.